Here, we review the mapping between quasiperiodic models and quantum Hall systems. In section , we introduce the concept of quasicrystals and their corresponding quasiperiodic models. Section  is devoted to the relation of some families of quasiperiodic models to the quantum Hall effect, whereas in section , we present the proof from Ref. [1]} on how to associate Chern numbers to gaps of the quasiperiodic models. In section , we then shortly review recent experiments in various optical setups that explore the topological properties of quasicrystals.
